Abstract: It is generally recognized that time-stress superposition principle (TSSP) can effectively simplify the constitutive models and mechanical performance tests of viscoelastic polymers. Previous studies mainly focused on the uniaxial stress state, while practical engineering components are usually under biaxial or triaxial complex stress state. To this end, we first utilized the finite element method to reasonably design and optimize the biaxial cruciform specimens, so as to made the stress and strain in the test area of the sample basically satisfy uniform distribution, and processed the silicone rubber samples accordingly. Secondly, we carried out biaxial creep tests on the samples under various stress levels and diverse load ratios, a series of short-term creep test curves were acquired. Finally, we defined appropriate stress and deformation measures based on Cauchy stress and Left Cauchy-Green deformation tensor to investigate TSSP under biaxial tension. According to the shift method, we shifted the short-term creep curves under diverse load levels along the logarithmic time axis to construct the master curve in a wide time domain, and obtained the corresponding shift factors as well. Furthermore, nonlinear regression analysis of the shift result was conducted by using the stress shift factor equation, and the corresponding equation parameters were obtained. Consequently, the research results can provide theoretical basis and important reference for accelerated characterization of long-term mechanical properties and long-term life prediction of viscoelastic polymers under complex stress conditions.
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